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Finding the Fourth Proportional to 499.91, 749.86 and 175.20

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Solution

The fourth proportional to 499.91, 749.86 and 175.20 is: 262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.91 : 749.86 = 175.20 : x
  2. Step 2: Convert to fraction form
    499.91/749.86 = 175.20/x
  3. Step 3: Cross multiply
    499.91x = 749.86 × 175.20
  4. Step 4: Simplify right side
    499.91x = 131,375.47
  5. Step 5: Solve for x
    x = 131,375.47/499.91
  6. Step 6: Final answer
    x = 262.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.